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Finding the Third Proportional to 600,230 and 1,280,812

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Solution

The third proportional to 600,230 and 1,280,812 is: 2,733,084.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,230 : 1,280,812 = 1,280,812 : x
  2. Step 2: Convert to fraction form
    600,230/1,280,812 = 1,280,812/x
  3. Step 3: Cross multiply
    600,230x = 1,280,812 × 1,280,812
  4. Step 4: Simplify right side
    600,230x = 1,640,479,379,344
  5. Step 5: Solve for x
    x = 1,640,479,379,344/600,230
  6. Step 6: Final answer
    x = 2,733,084.62

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.